7(x-2)-1=-7(-4x+1)-9x

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Solution for 7(x-2)-1=-7(-4x+1)-9x equation:


Simplifying
7(x + -2) + -1 = -7(-4x + 1) + -9x

Reorder the terms:
7(-2 + x) + -1 = -7(-4x + 1) + -9x
(-2 * 7 + x * 7) + -1 = -7(-4x + 1) + -9x
(-14 + 7x) + -1 = -7(-4x + 1) + -9x

Reorder the terms:
-14 + -1 + 7x = -7(-4x + 1) + -9x

Combine like terms: -14 + -1 = -15
-15 + 7x = -7(-4x + 1) + -9x

Reorder the terms:
-15 + 7x = -7(1 + -4x) + -9x
-15 + 7x = (1 * -7 + -4x * -7) + -9x
-15 + 7x = (-7 + 28x) + -9x

Combine like terms: 28x + -9x = 19x
-15 + 7x = -7 + 19x

Solving
-15 + 7x = -7 + 19x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-19x' to each side of the equation.
-15 + 7x + -19x = -7 + 19x + -19x

Combine like terms: 7x + -19x = -12x
-15 + -12x = -7 + 19x + -19x

Combine like terms: 19x + -19x = 0
-15 + -12x = -7 + 0
-15 + -12x = -7

Add '15' to each side of the equation.
-15 + 15 + -12x = -7 + 15

Combine like terms: -15 + 15 = 0
0 + -12x = -7 + 15
-12x = -7 + 15

Combine like terms: -7 + 15 = 8
-12x = 8

Divide each side by '-12'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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